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Finding the Fourth Proportional to 268.89, 403.23 and 181.92

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Solution

The fourth proportional to 268.89, 403.23 and 181.92 is: 272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.89 : 403.23 = 181.92 : x
  2. Step 2: Convert to fraction form
    268.89/403.23 = 181.92/x
  3. Step 3: Cross multiply
    268.89x = 403.23 × 181.92
  4. Step 4: Simplify right side
    268.89x = 73,355.60
  5. Step 5: Solve for x
    x = 73,355.60/268.89
  6. Step 6: Final answer
    x = 272.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.